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3400334377 = 112101278237
BaseRepresentation
bin1100101010101100…
…1111110000101001
322202222022212212021
43022223033300221
523430441200002
61321224544441
7150156236206
oct31253176051
98688285767
103400334377
111495444600
127aa922121
1342261209b
14243856cad
1514d7c1737
hexcaacfc29

3400334377 has 12 divisors (see below), whose sum is σ = 3774576708. Its totient is φ = 3060596000.

The previous prime is 3400334363. The next prime is 3400334387. The reversal of 3400334377 is 7734330043.

It can be written as a sum of positive squares in 2 ways, for example, as 2918268441 + 482065936 = 54021^2 + 21956^2 .

It is a de Polignac number, because none of the positive numbers 2k-3400334377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3400334317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126898 + ... + 151339.

It is an arithmetic number, because the mean of its divisors is an integer number (314548059).

Almost surely, 23400334377 is an apocalyptic number.

It is an amenable number.

3400334377 is a deficient number, since it is larger than the sum of its proper divisors (374242331).

3400334377 is a wasteful number, since it uses less digits than its factorization.

3400334377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278360 (or 278349 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 34.

The square root of 3400334377 is about 58312.3861370807. The cubic root of 3400334377 is about 1503.7438887938.

The spelling of 3400334377 in words is "three billion, four hundred million, three hundred thirty-four thousand, three hundred seventy-seven".

Divisors: 1 11 101 121 1111 12221 278237 3060607 28101937 33666677 309121307 3400334377